Least Common Multiple (LCM) of 134 and 40
The least common multiple (LCM) of 134 and 40 is 2680.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 134 and 40?
First, calculate the GCD of 134 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 40 = 3 remainder 14 |
| 2 | 40 ÷ 14 = 2 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 157 | 17741 |
| 17 and 37 | 629 |
| 151 and 12 | 1812 |
| 123 and 174 | 7134 |
| 85 and 53 | 4505 |